contestada

Newjet, Inc. manufactures inkjet printers and laser printers. The company has the capacity to make 70 printers per day, and it has 120 hours of labor per day available. It takes 1 hour to make an inkjet printer and 3 hours to make a laser printer. The profits are $40 per inkjet printer and $70 per laser printer. Find the number of each type of printer that should be made to give maximum profit, and find the maximum profit.

Respuesta :

jepessoa

Answer:

maximum profit is $3,750

obtained by producing 45 inkjet printers + 25 laser printers

Explanation:

let I be the number of inkjet printers

let L be the number of laser printers

I + L ≤ 70

I + 3L = 120

the profit function = 50I + 60L

the maximum production frontier (given by the attached curve):

I = 70, L = 0

I = 0, L = 40

I = 45, L = 25

profit (I = 70, L = 0) = $50 (70) + 0 = $3,500

profit (I = 0, L = 40) = 0 + $60 (40) = $2,400

profit (I = 45, L = 25) = $50 (45) + $60 (25) = $2,250 + $1,500 = $3,750

Ver imagen jepessoa

Otras preguntas